Question
Empty relation and universal relation sometimes know as ________ relation.
✓
Answer
Trivial
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Let A and B be two events. If $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\text{P}(\text{A}),$ then A is _________ of B.
→Let A and B be two events. If $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\text{P}(\text{A}),$ then A is _________ of B.
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The product of any matrix by the scalar _________ is the null matrix.
The product of any matrix by the scalar _________ is the null matrix.
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The cartesian equation of the plane $\vec{\text{r}}\cdot(\hat{\text{i}}+\hat{\text{j}}-\hat{\text{k}})=2$ is ________.
→The cartesian equation of the plane $\vec{\text{r}}\cdot(\hat{\text{i}}+\hat{\text{j}}-\hat{\text{k}})=2$ is ________.
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The values of a for which the function f(x) = sinx - ax + b increases on R are ______.
The values of a for which the function f(x) = sinx - ax + b increases on R are ______.
The value of $\int a^x d x=$ ____________
→Fill in the blanks:
If A is a matrix of order 3 × 3, then |3A| = _______.
If A is a matrix of order 3 × 3, then |3A| = _______.
The least value of the function $\text{f(x)}=\text{ax}+\frac{\text{b}}{\text{a}}(\text{a}>0,\text{b}>0,\text{x}>0)$ is ______.
→Graphs of two function $\text{f}(\text{x})=\text{sin}\text{ x}$ and $\text{(g)}\text{x}=\text{cos}\text{ x}$ is given below:
Based on the above information, answer the following questions.
→Based on the above information, answer the following questions.
- In $(0, \pi)$, the curves $\text{f}(\text{x})=\text{sin}\text{ x}$ and $\text{g}\text{ (x)}=\text{cos}\text{ x}$ at $\text{x}=$
- $\frac{\pi}{2}$
- $\frac{\pi}{3}$
- $\frac{\pi}{4}$
- ${\pi}$
- Value of $\int\limits_{0}^{\frac{\pi}{4}}\text{sin}\text{ x}\text{ dx}$ is.
- $1-\frac{1}{\sqrt{2}}$
- $1+\frac{1}{\sqrt{2}}$
- $2-\frac{1}{\sqrt{2}}$
- $2+\frac{1}{\sqrt{2}}$
- Value of $\int\limits_\frac{\pi}{4}^{\frac{\pi}{2}}\text{cos}\text{ x}\text{ dx}$ is.
- $1+\frac{1}{\sqrt{2}}$
- $1-\frac{1}{\sqrt{2}}$
- $2-\sqrt{2}$
- $2+\sqrt{2}$
- Value of $\int\limits_{0}^{\pi}\text{sin}\text{ x}\text{ dx}$ is.
- 0
- 1
- 2
- -2
- Value of $\int\limits_{0}^\frac{\pi}{2}\text{sin}\text{ x}\text{ dx}$ is.
- 0
- 1
- 3
- 4
Location of three houses of a society is represented by the points A(-1, 0), B(1, 3) and C(3, 2) as shown in figure.
Based on the above information, answer the following questions
→Based on the above information, answer the following questions
- Equation of line AB is.
- $\text{y}=\frac{3}{2}(\text{x}+1)$
- $\text{y}=\frac{3}{2}(\text{x}-1)$
- $\text{y}=\frac{1}{2}(\text{x}+1)$
- $\text{y}=\frac{1}{2}(\text{x}-1)$
- Equation of line BC is.
- $\text{y}=\frac{1}{2}\text{x}-\frac{7}{2}$
- $\text{y}=\frac{3}{2}\text{x}-\frac{7}{2}$
- $\text{y}=\frac{-1}{2}\text{x}+\frac{7}{2}$
- $\text{y}=\frac{3}{2}\text{x}+\frac{7}{2}$
- Area of region ABCD is.
- 2 sq. units
- 4 sq. units
- 6 sq. units
- 8 sq. units
-
Area of $\triangle\text{ADC}$ is,
- 4 sq. units
- 8 sq. units
- 16 sq. units
- 32 sq. units
- Area of $\triangle\text{ABC}$ is.
- 3 sq. units
- 4 sq. units
- 5 sq. units
- 6 sq. units
The area of the region bounded by the cartesian curve $y=f(x), x$-axis and the ordinates $x=a, x=b$ will be __________ .
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